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describe and perform combinations of translations, reflections, and rotations on a grid (See E1.4 Teacher Supports)

predict the results of combined transformations (See E1.4 Teacher Supports)

Physically moving objects to do translations, reflections and rotations

Using grid of floor to translate, reflect and rotate objects

Create tessellations with a shape of known area, find area of pattern

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Moving students bodies to show the movement. Student move from point A to point B

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Moving students bodies to show the movement. Student move from point A to point B

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- using coloured squares to represent growing and shrinking patterns (use one colour as the constant and another as the multiplier) to show connections between visual and numerical representations
- represent growing and shrinking patterns graphically to show the connections to algebraic representation, showing that the "b" in y = mx + b is the y-intercept (visually showing that this is where the line crosses the y-axis)

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* growing and shrinking patterns with pattern blocks, tiles

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* visual patterns using different manipulatives

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* visual patterns using different manipulatives

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Use of number lines... Spatial understanding, where does this number belong? Can do student number lines, give students sticky notes and start/end point

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Use of number lines... Spatial understanding, where does this number belong? Can do student number lines, give students sticky notes and start/end point

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- project a 100s chart and remove numbers. Students will locate the missing numbers based on their knowledge of the 100s chart, and using spatial reasoning 

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- project a 100s chart and remove numbers. Students will locate the missing numbers based on their knowledge of the 100s chart, and using spatial reasoning 

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* using tiles to represent integers (adding, subtracting)

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* using tiles to represent integers (adding, subtracting)

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* acting out fair share problems with manipulatives or real life materials

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- place value - place value disks, base ten blocks, place value mats

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Base ten blocks. Decomposing and Composing. Moving to representation

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Number lines and using spatial reasoning

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-human number line, students stand with a specific number and space themselves out as per where there number fits on the number line

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-human number line, students stand with a specific number and space themselves out as per where there number fits on the number line

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Number Lines to represent algebraic expressions

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using tiles to build and create algebraic pattern rules with different colours for constant and variables

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* creating equal amounts with balance scales
* using linking cubes for trains to show equality

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Using cubes/tiles to make balancing equations. Students will be able count/create structures/pictures that have the same numbers of cubes/tiles on each side. 

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Using cubes/tiles to make balancing equations. Students will be able count/create structures/pictures that have the same numbers of cubes/tiles on each side. 

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Using base ten blocks to represent decimals

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Using base ten blocks to represent decimals

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Orienteering, physical movement on a coordinate grid

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Orienteering, physical movement on a coordinate grid

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Cross Curricular ie the Arts  Dance Music

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Cross Curricular ie the Arts  Dance Music

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Using visual models to represent multiplication and division

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-rational rods to show equality and represent number

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-rational rods to show equality and represent number

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composing and decomposing numbers using base 10 plus students own diagrams/representations

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composing and decomposing numbers using base 10 plus students own diagrams/representations

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sea level number line for integers. How many meters above/below sea level are different animals, boats, planes etc.

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Shapes on a grid - fractions. Comparing more/less with full grid filled in versus half of the grid filled in (parallelogram). 

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Shapes on a grid - fractions. Comparing more/less with full grid filled in versus half of the grid filled in (parallelogram). 

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solve problems and create computational representations of mathematical situations by writing and executing code, including code that involves sequential, concurrent, repeating, and nested events

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using pattern blocks to represent fractions

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using pattern blocks to represent fractions

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Students can create patterns using pattern blocks while creating shapes (eg. 6 triangles to make a hexagon)

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Students can create patterns using pattern blocks while creating shapes (eg. 6 triangles to make a hexagon)

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Represent patterns visually, graphically

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Creating tessellations - link to art. Students move a stencil to create wallpaper

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Factorization: using prime factor circles 

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Factorization: using prime factor circles 

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Polypad - Virtual Manipulatives - Mathigon

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Virtual manipulatives, dynamic geometry, graph plotting, data science and more: explore the ultimate mathematical playground!

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Have students construct a "battleship" game card using the Cartesian plane.  Will help with location, integers, ordered pairs and transformational geometry. 

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Have students construct a "battleship" game card using the Cartesian plane.  Will help with location, integers, ordered pairs and transformational geometry. 

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reate and translate repeating and growing patterns using various representations, including tables of values and graphs

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Sports - visualizing parts of the ice/courts and how to move your body, move the ball/puck/racket, etc. 

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Sports - visualizing parts of the ice/courts and how to move your body, move the ball/puck/racket, etc. 

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Translating from graphs to patterns. (understanding how slope relates to the pattern)

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Translating from graphs to patterns. (understanding how slope relates to the pattern)

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* using grids to show movement of objects, using lego characters or tiny people characters to move with the grid and show turns
* using picture books to tell a story and have characters move to different locations on a grid

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Have students create their community on a 100s carpet. Have them use arrows to move to places in their communities. 

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Have students create their community on a 100s carpet. Have them use arrows to move to places in their communities. 

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Cartesian Plane - Using the school / play ground

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Cartesian Plane - Using the school / play ground

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The connection between body movement and the cartesian plane. Scavenger hunt both inside and outside the school using a standard measurements. For example, using a scaled map of the school and providing either the X,Y coordinates or coordination direction, to demonstrated the different locations that students need to find throughout the playground / school.

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- using integer tiles to demonstrate the idea of zero pairs (i.e., a positive and a negative cancel each other out)
- using digital/physical representations of fractions to show that equivalent fractions is either merging or splitting fractions into smaller parts
- using visuals to represent that multiplying proper fractions involves finding "a part of a part"

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C2. demonstrate an
understanding of variables,
expressions, equalities, and
inequalities, and apply this
understanding in various contexts

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C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths - students can describe using their own representation

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C1.4 create and describe patterns to illustrate relationships among whole numbers and decimal tenths - students can describe using their own representation

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solve inequalities that involve addition and subtraction of whole numbers up to 20, and verify and graph the solutions

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* students create a story using terms of in front of, behind where a character is in relation to the setting (forest, house, playground) and other characters.
* students then orally read their story to a partner and then the partner acts out the story

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To represent fractions, part-part models, multiplication, ratios

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Graphing Inequalities on a number line

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Creating visual art assignments that use spatial reasoning

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Creating visual art assignments that use spatial reasoning

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Have students identify and use representations, tools, technologies, or strategies to create a model of the schoolyard, identifying the dimensions of the rectangular sections and their areas.

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Using visual representation of number concepts

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Math Is Visual: Let's Teach It That Way | Free Visual Math Talk Prompts

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Access free Visual Math Talk Prompts to build fluency and flexibility with number sense and operations for your K-12 Math Class or at Home.

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moving body in space - physically moving body in unplugged coding

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moving body in space - physically moving body in unplugged coding

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Cuisenaire rods for fractions

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patterns with 3D shapes - growing/shrinking

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patterns with 3D shapes - growing/shrinking

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Create models for numbers in the gym by using different sized balls to represent different values.

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Identifying patterns in real life situations- e.g. building bridges using repeated triangles as a way to make it strong-integrated with science

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using manipulatives to solve number equations

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using manipulatives to solve number equations

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Creating symmetrical pictures using pattern blocks

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Creating symmetrical pictures using pattern blocks

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Create a map to find different locations around the school and yard to connect to a story or Literacy

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Building structures and leaving out missing parts to determine how to balance equations

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Use the orientation of shapes ( e.g., pattern blocks) as part of a pattern to increase spatial skills

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Visually representing numbers and operations in a variety of ways using concrete materials

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Use Code and Go Mouse to 'retell' stories by walking from page to page of a book on a hundreds chart

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Use Code and Go Mouse to 'retell' stories by walking from page to page of a book on a hundreds chart

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Code & Go: Robot Mouse Coding Activity Set

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This works well with coding, and programming. Visually representing the output of a program, and visually representing how the output would change with a change in programming.

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I'm thinking of a number between x and x. As students guess the number line becomes eliminated. Students will have an understanding of the capacity of numbers as well as where they fall on a number line.

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Represent their adding and subtracting strategies using an open number line, decomposing the numbers into their place, value, etc.

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instructions on how to get from class to.. gym, office, library, playgroud

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Use location and movement problems (see problem of the week from U of Waterloo) and have students translate them onto coding grids. Once that is done, they can use the grid to write code in Scratch.

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Visually representing algebraic expressions using manipulatives and connecting it visually to graphing and patterns.

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use snap cubes to extend on the geometric tasks introduced today, and allow students to build their own  shapes and allow others to draw them.  Then, use communicaton skills only to describe to partner how to build their shape.  (battleship idea)

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use snap cubes to extend on the geometric tasks introduced today, and allow students to build their own  shapes and allow others to draw them.  Then, use communicaton skills only to describe to partner how to build their shape.  (battleship idea)

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Tenths grid, hundredths grid and thousandths grid to visually see the difference between the decimals. Visually represent decimals for comparing, adding etc.

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Tenths grid, hundredths grid and thousandths grid to visually see the difference between the decimals. Visually represent decimals for comparing, adding etc.

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Sheets of tenths, hundredths, and thousandths grids (12 grids per sheet).

Lightly colored background to assist with visual discrimination of grids.

Print in color, greyscale, or black & white.

Color-coding matches Beeline Resources Base 10 Cards. *NOT INCLUDED
Additional Math Resources: Base 10 Cards / 1s, 10s, 100s, 1,000s *2 Easy-Prep Sets* Memory Match-Up / Decimal Representations *2 Easy-Prep Games* Memory Match-Up / Part-Whole Fraction Representations *2 Easy-Prep Games* Memory Match-Up / Digits 1-10, Ten Frames, Number Words *3 Easy-Prep Sets* Memory Match-Up / Numbers in Expanded Form *4 Easy-Prep Games, 2 Versions* Fraction Reference Sheet & Easy-Prep Bar Models /Numbered+Blank *1 Whole-12ths* Math Monsters! Multiplication Games / 3 Levels *7 Print-and-Play Game Boards*
Bump! Bump! Bump It Up! Print-and-Play Games / Multiply Sums x2-12 *11 GAMES*
ROUNDABOUT! Rounding to the Nearest 10 Game / Color+ B&W Easy-Prep ROUNDABOUT! *BUNDLE* Quotients 1-12 THREE Division Games MEGA-SIZED Multiples / #1-12, 8-inches tall *2 Sets
Be sure to follow my store for updates on new products and freebies! You can also find my teacher tips on Instagram @BeelineTeacher.

Thank you for visiting!

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*FREE* Tenths, Hundredths, Thousandths Grid Sheets / 12 grids per sheet

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Sheets of tenths, hundredths, and thousandths grids (12 grids per sheet).Lightly colored background to assist with visual discrimination of grids. Print in color, greyscale, or black & white.Color-coding matches Beeline Resources Base 10 Cards. *NOT INCLUDEDAdditional Math Resources:Base 10 Card...

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Using decimal grids to represent decimals visually and help with understanding and concepts like rounding.

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Using decimal grids to represent decimals visually and help with understanding and concepts like rounding.

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Presenting problems that have different answers depending on how you connect...

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Presenting problems that have different answers depending on how you connect...

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3 x 4 = 12

4 x 3 = 12

Are these the same or similar? How do you know? Where might you see this paradigm in nature...IE 3 seasons with 4 months or 4 months with 3 seasons...? Are these the same?

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So many ways to apply these skills/practice into art activities...

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Using manipulatives to represent ratios. Students can visualize the multiplicative pattern and connect it to fractions.

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Walking and moving patterns

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Boom!

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change the 'value' of a pattern block edge, make them worth different amounts.  Students create amounts and then compare how the amount of an edge changes the value of the shape.

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change the 'value' of a pattern block edge, make them worth different amounts.  Students create amounts and then compare how the amount of an edge changes the value of the shape.